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Finding the Fourth Proportional to 218.81, 302.03 and 149.21

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Solution

The fourth proportional to 218.81, 302.03 and 149.21 is: 205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.81 : 302.03 = 149.21 : x
  2. Step 2: Convert to fraction form
    218.81/302.03 = 149.21/x
  3. Step 3: Cross multiply
    218.81x = 302.03 × 149.21
  4. Step 4: Simplify right side
    218.81x = 45,065.90
  5. Step 5: Solve for x
    x = 45,065.90/218.81
  6. Step 6: Final answer
    x = 205.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.